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2026-03-26 18:59:39.1774551579

If $M$ has a largest proper submodule, then $ M$ is directly indecomposable

70 Views Asked by Bumbble Comm https://math.techqa.club/user/bumbble-comm/detail At 26 Mar 2026 - 6:59 2026-03-26 19:09:39.1774552179

How to prove ;

"Every module $M$, which has a largest proper submodule or, in the set of non-zero submodules, a smallest submodule, is directly indecomposable?"

direct-sum
Original Q&A

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